(dP/dt) = 7sqrt(Pt), P(1) = 5
The answer sheet has two pages.it is the first pagesecond /last page
Solve the differential equation for P(t) Ri dI(t) P(t) dP(t) dt dt Ri dI(t) P(t) dP(t) dt dt
Differential equations question. dp/dt = 0.3 (1-p/10) (p/10-2)p 1. (5 points) Consider the given population model, where P(t) is the population at time t A. For what values of P is the population in equilibrium? B. For what values of P is it increasing? C. For what values is it decreasing? : (i-T-YE -2) p dt120 her
Let P(t) be a function and Q(t) be functions. dP/dt = aQ dQ/dt = -bP (1) Find the equilibrium point(s) and discuss their stability. (2) Find the trajectories of P and Q. (3) Solve the system to find P and Q as functions of t.
For the equation (dp/dt)=(P+2)(P^2-6P+5) find the equilibrium points and make a phase portrait of the differential equation. Classify each equilibrium point as asymptotically stable, unstable or semi-stable. Sketch typical solution curves determined by the graphs of equilibrium solutions.
A population P obeys the logistic model. It satisfies the equation dp 2 dt = 500 P(5 – P) for P >0. (a) The population is increasing when - Preview <P < 5 Preview (b) The population is decreasing when P > 5 Preview (c) Assume that P(0) = 4. Find P(40). P(40) = 1.93 * Preview
2. Suppose a population P(t) satisfies the logistic differential equation dP dt = 0.1P 1 − P 2000 P(0) = 100 Find the following: a) P(20) b) When will the population reach 1200? 2. Suppose a population P(t) satisfies the logistic differential equation 2P = 0.1P (1–2000) = 0.1P | P(0) = 100 2000 Find the following: a) P(20) b) When will the population reach 1200?
(1 point) Any population, P, for which we can ignore immigration, satisfies dP Birth rate – Death rate. dt For organisms which need a partner for reproduction but rely on a chance encounter for meeting a mate, the birth rate is proportional to the square of the population. Thus, the population of such a type of organism satisfies a differential equation of the form dP аP? — ЬР with a, b > 0. dt This problem investigates the solutions to...
show works please Q71 5 Points A population is modeled by dP Р = 9P1 dt 2500 (a) For what values of P is the population increasing? (b) For what values of P is the population decreasing? (c) What are the equilibrium solutions? Upload your file showing your work. Please select file(s) Select file(s) Q7.2 5 Points Solve the differential equation and show your work. dz + 7e2z+t = 0 dt
Suppose that the rate of change of a population is given by: dP dt = kP(M-P) a) What model of population growth is this ? b) What does it predict for the growth of the population as the population increases ? c) Sketch what happens to the population if the initial population, Po, were such that G) 0< Po< M/2, (ii) M/2 < PoM and (iii) Po > M (all on the same graph of population as a function of...
question 9 9. Derive the Clapeyron equation( dP/dT ASm/AVm). (10) Use the Clapyron equation to explain that the slope of the solid-gas coexistence curve will be greater than that of the liquid-gas coexistence curve. (p.184), (5). 9. Derive the Clapeyron equation( dP/dT ASm/AVm). (10) Use the Clapyron equation to explain that the slope of the solid-gas coexistence curve will be greater than that of the liquid-gas coexistence curve. (p.184), (5).